Thank you for your help, but don't be frustrated, gr5! I'll post pictures sooner or later. To do so I have to print an object with missing layers, and I have no time to print something unuseful at this moment.
The wall thickness on the models with missing layers is 1.6 millimeters or more. I'm a professional industrial designer, so my STLs (copyrighted) are really ok, they print fine using another printer and another software. They also work fine on a 5 axis CNC robot.
I found really interesting your answer to selmo : maybe you have found the cause of my problem, too. I'll try a different STL face resolution and see what happens.